We present an analytical approach, based on computer algebra using Mathematica, to solve for the time-dependent responses of the earth's surface to the melting of the last ice age. The mathematical formulation, based on the correspondence principle for viscoelasticity, allows for the analytical determination of the relaxation times and of the associated Green's functions describing the temporal responses of the unloading event. By using Mathematica, we have developed an efficient means for evaluating the Green's functions of a multilayered model, which would be difficult by the usual analytical methods. We thus obtain an explicit closed-form analytical solution for a five-layer earth model, which facilitates the variations of parameters in different parts of the mantle.
A computer-aided, algebraic approach to the post-glacial rebound problem
SPADA, GIORGIO;
1990
Abstract
We present an analytical approach, based on computer algebra using Mathematica, to solve for the time-dependent responses of the earth's surface to the melting of the last ice age. The mathematical formulation, based on the correspondence principle for viscoelasticity, allows for the analytical determination of the relaxation times and of the associated Green's functions describing the temporal responses of the unloading event. By using Mathematica, we have developed an efficient means for evaluating the Green's functions of a multilayered model, which would be difficult by the usual analytical methods. We thus obtain an explicit closed-form analytical solution for a five-layer earth model, which facilitates the variations of parameters in different parts of the mantle.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
